The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total of P's and Q's present ages?
Question
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2, what is the total of P's and Q's present ages?
Solution
Let's solve this step by step:
Step 1: Let's assume the present age of P is 5x and the present age of Q is 7x.
Step 2: According to the problem, the difference between Q's present age and P's age after 6 years is 2. So, we can write this as: 7x - (5x + 6) = 2
Step 3: Simplify the equation: 7x - 5x = 2 + 6, which simplifies to 2x = 8.
Step 4: Solve for x: x = 8 / 2 = 4.
Step 5: Now that we know x, we can find the present ages of P and Q. P's present age is 5x = 54 = 20 years and Q's present age is 7x = 74 = 28 years.
Step 6: The total of P's and Q's present ages is 20 + 28 = 48 years.
Similar Questions
Ratio of present ages of P and Q are 7:3. After four years their ages will be in the ratio 2:1. Then the present age of P (in years) is?
If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?Options4 : 56 : 75 : 67 : 8
rrect answerTen years ago, P was half of Q's age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages?Options453540
12 years ago, age of P was 3 times the age of Q.After 12 years,ratio of ages of Q to P will be 2:3.What is the present age of P?54 years36 years24 years144 years
The ratio of the present ages of P and Q is 3: 4. Five years ago, the ratio of their ages was 5: 7. Find their present ages.Question Description : 30 and 4030 and 3530 and 5025 and 40
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.